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3144430350 = 23252103179379
BaseRepresentation
bin1011101101101100…
…0011001100001110
322010010210121112100
42323123003030032
522414433232400
61240004015530
7140631134265
oct27333031416
98103717470
103144430350
111373a49076
127390915a6
133b15b3299
1421b8815dc
151360c3100
hexbb6c330e

3144430350 has 144 divisors (see below), whose sum is σ = 8600342400. Its totient is φ = 823556160.

The previous prime is 3144430319. The next prime is 3144430351. The reversal of 3144430350 is 530344413.

3144430350 is a `hidden beast` number, since 314 + 44 + 303 + 5 + 0 = 666.

It is a super-2 number, since 2×31444303502 = 19774884452002245000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3144430351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8296461 + ... + 8296839.

It is an arithmetic number, because the mean of its divisors is an integer number (59724600).

Almost surely, 23144430350 is an apocalyptic number.

3144430350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144430350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300171200).

3144430350 is an abundant number, since it is smaller than the sum of its proper divisors (5455912050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3144430350 is a wasteful number, since it uses less digits than its factorization.

3144430350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3144430350 is about 56075.2204632314. The cubic root of 3144430350 is about 1465.0327272758.

Adding to 3144430350 its reverse (530344413), we get a palindrome (3674774763).

The spelling of 3144430350 in words is "three billion, one hundred forty-four million, four hundred thirty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 103 150 179 206 225 309 358 379 450 515 537 618 758 895 927 1030 1074 1137 1545 1611 1790 1854 1895 2274 2575 2685 3090 3222 3411 3790 4475 4635 5150 5370 5685 6822 7725 8055 8950 9270 9475 11370 13425 15450 16110 17055 18437 18950 23175 26850 28425 34110 36874 39037 40275 46350 55311 56850 67841 78074 80550 85275 92185 110622 117111 135682 165933 170550 184370 195185 203523 234222 276555 331866 339205 351333 390370 407046 460925 553110 585555 610569 678410 702666 829665 921850 975925 1017615 1171110 1221138 1382775 1659330 1696025 1756665 1951850 2035230 2765550 2927775 3052845 3392050 3513330 4148325 5088075 5855550 6105690 6987623 8296650 8783325 10176150 13975246 15264225 17566650 20962869 30528450 34938115 41925738 62888607 69876230 104814345 125777214 174690575 209628690 314443035 349381150 524071725 628886070 1048143450 1572215175 3144430350